Multi-objective constrained output feedback control

in this paper we treat the problem of constrained output feedback control subject to multi-objective performance requirements for continuous-time linear systems. The inclusion of structural constraints on the feedback gain appears explicitly in the design formulation. Other objectives are also incorporated in the control design, such as a prescribed degree of exponential stability (alpha-stability), input norm constraints, H-2 and H-infinity requirements. We derive necessary and sufficient conditions for multi-objective constrained output feedback control. All obtained results are expressed in terms of LMI based optimization problems and since the proposed objective function is not convex, a linearization approach is used to solve them. Numerical results illustrate the proposed methodology. Copyright (C) 1998 IFAC.